GCD of 542, 456, 500, 354 Calculator

Given Input numbers are 542, 456, 500, 354

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Greatest Common Divisior

We found the divisors of 542, 456, 500, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 542, 456, 500, 354 is 2.

Therefore, GCD of numbers 542, 456, 500, 354 is 2

Given Input Data is 542, 456, 500, 354

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 542 is 2 x 271

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 354 is 2 x 3 x 59

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(542, 456) = 123576

GCD(542, 456) = ( 542 x 456 ) / 123576

GCD(542, 456) = 247152 / 123576

GCD(542, 456) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 500

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 500) = 500

GCD(2, 500) = ( 2 x 500 ) / 500

GCD(2, 500) = 1000 / 500

GCD(2, 500) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 354

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 354) = 354

GCD(2, 354) = ( 2 x 354 ) / 354

GCD(2, 354) = 708 / 354

GCD(2, 354) = 2

GCD of 542, 456, 500, 354 is 2

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1. What is the GCD of 542, 456, 500, 354?

GCD of 542, 456, 500, 354 is 2

2. Where do I get the detailed procedure to find GCD of 542, 456, 500, 354?

You can find a detailed procedure to find GCD of 542, 456, 500, 354 on our page.

3. How to find GCD of 542, 456, 500, 354 on a calculator?

You can find the GCD of 542, 456, 500, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.